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Finding the Fourth Proportional to 6,986.69, 9,643.00 and 4,004.52

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Solution

The fourth proportional to 6,986.69, 9,643.00 and 4,004.52 is: 5,527.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.69 : 9,643.00 = 4,004.52 : x
  2. Step 2: Convert to fraction form
    6,986.69/9,643.00 = 4,004.52/x
  3. Step 3: Cross multiply
    6,986.69x = 9,643.00 × 4,004.52
  4. Step 4: Simplify right side
    6,986.69x = 38,615,601.94
  5. Step 5: Solve for x
    x = 38,615,601.94/6,986.69
  6. Step 6: Final answer
    x = 5,527.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.